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Finding the Fourth Proportional to 3,170.94, 4,757.13 and 1,710.06

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Solution

The fourth proportional to 3,170.94, 4,757.13 and 1,710.06 is: 2,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.94 : 4,757.13 = 1,710.06 : x
  2. Step 2: Convert to fraction form
    3,170.94/4,757.13 = 1,710.06/x
  3. Step 3: Cross multiply
    3,170.94x = 4,757.13 × 1,710.06
  4. Step 4: Simplify right side
    3,170.94x = 8,134,977.73
  5. Step 5: Solve for x
    x = 8,134,977.73/3,170.94
  6. Step 6: Final answer
    x = 2,565.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.